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Tilgængelig på 55 sprog" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-55" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">55 sprog</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-af mw-list-item"><a href="https://af.wikipedia.org/wiki/Eksentrisiteit_(wiskunde)" title="Eksentrisiteit (wiskunde) – afrikaans" lang="af" hreflang="af" data-title="Eksentrisiteit (wiskunde)" data-language-autonym="Afrikaans" data-language-local-name="afrikaans" class="interlanguage-link-target"><span>Afrikaans</span></a></li><li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Exzentrizit%C3%A4t_(Mathematik)" title="Exzentrizität (Mathematik) – schweizertysk" lang="gsw" hreflang="gsw" data-title="Exzentrizität (Mathematik)" data-language-autonym="Alemannisch" data-language-local-name="schweizertysk" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%A7%D8%AE%D8%AA%D9%84%D8%A7%D9%81_%D9%85%D8%B1%D9%83%D8%B2%D9%8A" title="اختلاف مركزي – arabisk" lang="ar" hreflang="ar" data-title="اختلاف مركزي" data-language-autonym="العربية" data-language-local-name="arabisk" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Escentricid%C3%A1_(matem%C3%A1tica)" title="Escentricidá (matemática) – asturisk" lang="ast" hreflang="ast" data-title="Escentricidá (matemática)" data-language-autonym="Asturianu" data-language-local-name="asturisk" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%AD%D0%BA%D1%81%D1%86%D1%8D%D0%BD%D1%82%D1%80%D1%8B%D1%81%D1%96%D1%82%D1%8D%D1%82" title="Эксцэнтрысітэт – belarusisk" lang="be" hreflang="be" data-title="Эксцэнтрысітэт" data-language-autonym="Беларуская" data-language-local-name="belarusisk" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%AD%D0%BA%D1%81%D1%86%D1%8D%D0%BD%D1%82%D1%80%D1%8B%D1%81%D1%8B%D1%82%D1%8D%D1%82" title="Эксцэнтрысытэт – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Эксцэнтрысытэт" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%95%D0%BA%D1%81%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B8%D1%86%D0%B8%D1%82%D0%B5%D1%82_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Ексцентрицитет (математика) – bulgarsk" lang="bg" hreflang="bg" data-title="Ексцентрицитет (математика)" data-language-autonym="Български" data-language-local-name="bulgarsk" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Ekscentricitet" title="Ekscentricitet – bosnisk" lang="bs" hreflang="bs" data-title="Ekscentricitet" data-language-autonym="Bosanski" data-language-local-name="bosnisk" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Excentricitat" title="Excentricitat – catalansk" lang="ca" hreflang="ca" data-title="Excentricitat" data-language-autonym="Català" data-language-local-name="catalansk" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%AC%DB%8C%D8%A7%D9%88%D8%A7%D8%B2%DB%8C%DB%8C_%DA%86%DB%95%D9%82%DB%8C_(%D8%A6%DB%95%D9%86%D8%AF%D8%A7%D8%B2%DB%95)" title="جیاوازیی چەقی (ئەندازە) – sorani" lang="ckb" hreflang="ckb" data-title="جیاوازیی چەقی (ئەندازە)" data-language-autonym="کوردی" data-language-local-name="sorani" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/V%C3%BDst%C5%99ednost_ku%C5%BEelose%C4%8Dky" title="Výstřednost kuželosečky – tjekkisk" lang="cs" hreflang="cs" data-title="Výstřednost kuželosečky" data-language-autonym="Čeština" data-language-local-name="tjekkisk" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Exzentrizit%C3%A4t_(Mathematik)" title="Exzentrizität (Mathematik) – tysk" lang="de" hreflang="de" data-title="Exzentrizität (Mathematik)" data-language-autonym="Deutsch" data-language-local-name="tysk" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%95%CE%BA%CE%BA%CE%B5%CE%BD%CF%84%CF%81%CF%8C%CF%84%CE%B7%CF%84%CE%B1" title="Εκκεντρότητα – græsk" lang="el" hreflang="el" data-title="Εκκεντρότητα" data-language-autonym="Ελληνικά" data-language-local-name="græsk" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Eccentricity_(mathematics)" title="Eccentricity (mathematics) – engelsk" lang="en" hreflang="en" data-title="Eccentricity (mathematics)" data-language-autonym="English" data-language-local-name="engelsk" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Discentreco" title="Discentreco – esperanto" lang="eo" hreflang="eo" data-title="Discentreco" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Excentricidad_(matem%C3%A1tica)" title="Excentricidad (matemática) – spansk" lang="es" hreflang="es" data-title="Excentricidad (matemática)" data-language-autonym="Español" data-language-local-name="spansk" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Ekstsentrilisus" title="Ekstsentrilisus – estisk" lang="et" hreflang="et" data-title="Ekstsentrilisus" data-language-autonym="Eesti" data-language-local-name="estisk" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Eszentrikotasun" title="Eszentrikotasun – baskisk" lang="eu" hreflang="eu" data-title="Eszentrikotasun" data-language-autonym="Euskara" data-language-local-name="baskisk" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A8%D8%B1%D9%88%D9%86%E2%80%8C%D9%85%D8%B1%DA%A9%D8%B2%DB%8C_(%D9%87%D9%86%D8%AF%D8%B3%D9%87)" title="برون‌مرکزی (هندسه) – persisk" lang="fa" hreflang="fa" data-title="برون‌مرکزی (هندسه)" data-language-autonym="فارسی" data-language-local-name="persisk" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Eksentrisyys" title="Eksentrisyys – finsk" lang="fi" hreflang="fi" data-title="Eksentrisyys" data-language-autonym="Suomi" data-language-local-name="finsk" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Excentricit%C3%A9_(math%C3%A9matiques)" title="Excentricité (mathématiques) – fransk" lang="fr" hreflang="fr" data-title="Excentricité (mathématiques)" data-language-autonym="Français" data-language-local-name="fransk" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Excentricidade" title="Excentricidade – galicisk" lang="gl" hreflang="gl" data-title="Excentricidade" data-language-autonym="Galego" data-language-local-name="galicisk" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%90%D7%A7%D7%A1%D7%A6%D7%A0%D7%98%D7%A8%D7%99%D7%95%D7%AA_(%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94)" title="אקסצנטריות (מתמטיקה) – hebraisk" lang="he" hreflang="he" data-title="אקסצנטריות (מתמטיקה)" data-language-autonym="עברית" data-language-local-name="hebraisk" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Ekscentricitet" title="Ekscentricitet – kroatisk" lang="hr" hreflang="hr" data-title="Ekscentricitet" data-language-autonym="Hrvatski" data-language-local-name="kroatisk" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Excentricit%C3%A1s_(geometria)" title="Excentricitás (geometria) – ungarsk" lang="hu" hreflang="hu" data-title="Excentricitás (geometria)" data-language-autonym="Magyar" data-language-local-name="ungarsk" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B7%D6%84%D5%BD%D6%81%D5%A5%D5%B6%D5%BF%D6%80%D5%AB%D5%BD%D5%AB%D5%BF%D5%A5%D5%BF" title="Էքսցենտրիսիտետ – armensk" lang="hy" hreflang="hy" data-title="Էքսցենտրիսիտետ" data-language-autonym="Հայերեն" data-language-local-name="armensk" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Eccentricit%C3%A0_(matematica)" title="Eccentricità (matematica) – italiensk" lang="it" hreflang="it" data-title="Eccentricità (matematica)" data-language-autonym="Italiano" data-language-local-name="italiensk" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E9%9B%A2%E5%BF%83%E7%8E%87" title="離心率 – japansk" lang="ja" hreflang="ja" data-title="離心率" data-language-autonym="日本語" data-language-local-name="japansk" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%94%E1%83%A5%E1%83%A1%E1%83%AA%E1%83%94%E1%83%9C%E1%83%A2%E1%83%A0%E1%83%98%E1%83%A1%E1%83%98%E1%83%A2%E1%83%94%E1%83%A2%E1%83%98" title="ექსცენტრისიტეტი – georgisk" lang="ka" hreflang="ka" data-title="ექსცენტრისიტეტი" data-language-autonym="ქართული" data-language-local-name="georgisk" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kab mw-list-item"><a href="https://kab.wikipedia.org/wiki/Allunmas" title="Allunmas – kabylsk" lang="kab" hreflang="kab" data-title="Allunmas" data-language-autonym="Taqbaylit" data-language-local-name="kabylsk" class="interlanguage-link-target"><span>Taqbaylit</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%9D%B4%EC%8B%AC%EB%A5%A0" title="이심률 – koreansk" lang="ko" hreflang="ko" data-title="이심률" data-language-autonym="한국어" data-language-local-name="koreansk" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Eccentricitas" title="Eccentricitas – latin" lang="la" hreflang="la" data-title="Eccentricitas" data-language-autonym="Latina" data-language-local-name="latin" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lb mw-list-item"><a href="https://lb.wikipedia.org/wiki/Exzentrizit%C3%A9it_(Mathematik)" title="Exzentrizitéit (Mathematik) – luxembourgsk" lang="lb" hreflang="lb" data-title="Exzentrizitéit (Mathematik)" data-language-autonym="Lëtzebuergesch" data-language-local-name="luxembourgsk" class="interlanguage-link-target"><span>Lëtzebuergesch</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Ekscentricitetas" title="Ekscentricitetas – litauisk" lang="lt" hreflang="lt" data-title="Ekscentricitetas" data-language-autonym="Lietuvių" data-language-local-name="litauisk" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%B5%E0%B4%BF%E0%B4%95%E0%B5%87%E0%B4%A8%E0%B5%8D%E0%B4%A6%E0%B5%8D%E0%B4%B0%E0%B4%A4" title="വികേന്ദ്രത – malayalam" lang="ml" hreflang="ml" data-title="വികേന്ദ്രത" data-language-autonym="മലയാളം" data-language-local-name="malayalam" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Exzentrizit%C3%A4t" title="Exzentrizität – nedertysk" lang="nds" hreflang="nds" data-title="Exzentrizität" data-language-autonym="Plattdüütsch" data-language-local-name="nedertysk" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Excentriciteit_(wiskunde)" title="Excentriciteit (wiskunde) – nederlandsk" lang="nl" hreflang="nl" data-title="Excentriciteit (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="nederlandsk" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Eksentrisitet" title="Eksentrisitet – bokmål" lang="nb" hreflang="nb" data-title="Eksentrisitet" data-language-autonym="Norsk bokmål" data-language-local-name="bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Mimo%C5%9Br%C3%B3d_(matematyka)" title="Mimośród (matematyka) – polsk" lang="pl" hreflang="pl" data-title="Mimośród (matematyka)" data-language-autonym="Polski" data-language-local-name="polsk" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Excentricidade_(matem%C3%A1tica)" title="Excentricidade (matemática) – portugisisk" lang="pt" hreflang="pt" data-title="Excentricidade (matemática)" data-language-autonym="Português" data-language-local-name="portugisisk" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Excentricitate_(matematic%C4%83)" title="Excentricitate (matematică) – rumænsk" lang="ro" hreflang="ro" data-title="Excentricitate (matematică)" data-language-autonym="Română" data-language-local-name="rumænsk" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%AD%D0%BA%D1%81%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B8%D1%81%D0%B8%D1%82%D0%B5%D1%82" title="Эксцентриситет – russisk" lang="ru" hreflang="ru" data-title="Эксцентриситет" data-language-autonym="Русский" data-language-local-name="russisk" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-rue mw-list-item"><a href="https://rue.wikipedia.org/wiki/%D0%95%D0%BA%D1%81%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B8%D1%86%D0%B8%D1%82%D0%B0" title="Ексцентрицита – Rusyn" lang="rue" hreflang="rue" data-title="Ексцентрицита" data-language-autonym="Русиньскый" data-language-local-name="Rusyn" class="interlanguage-link-target"><span>Русиньскый</span></a></li><li class="interlanguage-link interwiki-sco mw-list-item"><a href="https://sco.wikipedia.org/wiki/Eccentricity_(mathematics)" title="Eccentricity (mathematics) – skotsk" lang="sco" hreflang="sco" data-title="Eccentricity (mathematics)" data-language-autonym="Scots" data-language-local-name="skotsk" class="interlanguage-link-target"><span>Scots</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Ekscentricitet" title="Ekscentricitet – serbokroatisk" lang="sh" hreflang="sh" data-title="Ekscentricitet" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="serbokroatisk" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Izsrednost" title="Izsrednost – slovensk" lang="sl" hreflang="sl" data-title="Izsrednost" data-language-autonym="Slovenščina" data-language-local-name="slovensk" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%95%D0%BA%D1%81%D1%86%D0%B5%D0%BD%D1%82%D1%80%D0%B8%D1%86%D0%B8%D1%82%D0%B5%D1%82" title="Ексцентрицитет – serbisk" lang="sr" hreflang="sr" data-title="Ексцентрицитет" data-language-autonym="Српски / srpski" data-language-local-name="serbisk" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Excentricitet" title="Excentricitet – svensk" lang="sv" hreflang="sv" data-title="Excentricitet" data-language-autonym="Svenska" data-language-local-name="svensk" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%B5%E0%AE%9F%E0%AF%8D%E0%AE%9F%E0%AE%B5%E0%AE%BF%E0%AE%B2%E0%AE%95%E0%AE%B2%E0%AF%8D" title="வட்டவிலகல் – tamil" lang="ta" hreflang="ta" data-title="வட்டவிலகல்" data-language-autonym="தமிழ்" data-language-local-name="tamil" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a 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Opdater venligst din browsers bogmærker og brug i stedet din browsers standard printfunktion.</div></div><div class="mw-content-ltr mw-parser-output" lang="da" dir="ltr"><dl><dd><span typeof="mw:File"><span><img src="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Disambig_bordered_fade.svg/19px-Disambig_bordered_fade.svg.png" decoding="async" width="19" height="15" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Disambig_bordered_fade.svg/29px-Disambig_bordered_fade.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/f/fd/Disambig_bordered_fade.svg/38px-Disambig_bordered_fade.svg.png 2x" data-file-width="236" data-file-height="185" /></span></span><i> For alternative betydninger, se <a href="/wiki/Excentricitet" class="mw-disambig" title="Excentricitet">Excentricitet</a>.</i> <small>(<a href="/wiki/Speciel:Pr%C3%A6fiksindeks/Excentricitet" title="Speciel:Præfiksindeks/Excentricitet">Se også artikler, som begynder med Excentricitet</a>)</small></dd></dl> <figure class="mw-default-size mw-halign-right" typeof="mw:File/Thumb"><a href="/wiki/Fil:Eccentricity.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/bd/Eccentricity.svg/220px-Eccentricity.svg.png" decoding="async" width="220" height="224" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/b/bd/Eccentricity.svg/330px-Eccentricity.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/b/bd/Eccentricity.svg/440px-Eccentricity.svg.png 2x" data-file-width="455" data-file-height="463" /></a><figcaption>All typer keglesnit ordnet efter stigende excentricitet. Bæmærk at krumningen aftager med excentriciteten, og at ingen af kurverne skærer hinanden.</figcaption></figure> <p><b>Excentricitet</b>, betegnet med <i>e</i> eller <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \varepsilon }"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>ε</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle \varepsilon }</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a30c89172e5b88edbd45d3e2772c7f5e562e5173" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.083ex; height:1.676ex;" alt="{\displaystyle \varepsilon }"></span>, er i <a href="/wiki/Matematik" title="Matematik">matematikken</a> et tal som karakteriserer alle <a href="/wiki/Keglesnit" title="Keglesnit">keglesnit</a>. Det kan betragtes som et mål for hvor meget keglesnittet afviger fra en cirkel. </p><p>Det gælder at:, </p> <ul><li>Excentriciteten af en <a href="/wiki/Cirkel" title="Cirkel">cirkel</a> er 0.</li> <li>Excentriciteten af en <a href="/wiki/Ellipse" class="mw-redirect" title="Ellipse">ellipse</a> som ikke er en cirkel, er større end 0 og mindre end 1.</li> <li>Excentriciteten af en <a href="/wiki/Parabel" title="Parabel">parabel</a> er 1.</li> <li>Excentriciteten af en <a href="/wiki/Hyperbel" title="Hyperbel">hyperbel</a> er større end 1.</li></ul> <p>Det gælder også at to keglesnit har samme <a href="/w/index.php?title=Geometrisk_form&action=edit&redlink=1" class="new" title="Geometrisk form (ikke skrevet endnu)">geometriske form</a> hvis og kun hvis de har samme excentricitet. </p> <div class="mw-heading mw-heading2"><h2 id="Ellipser">Ellipser</h2></div> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Fil:Linjer_og_punkter_ved_ellipsen.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/b/b3/Linjer_og_punkter_ved_ellipsen.jpg/220px-Linjer_og_punkter_ved_ellipsen.jpg" decoding="async" width="220" height="139" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/b/b3/Linjer_og_punkter_ved_ellipsen.jpg 1.5x" data-file-width="292" data-file-height="185" /></a><figcaption> Linjer og punkter i og omkring en ellipse. Brændpunkterne er røde, storakselen er blå, lilleakselen er grøn.</figcaption></figure> <p>For en ellipse gælder at excentriciteten er forholdet mellem afstanden mellem brændpunkterne og længden af storaksen, og udtrykker hvor "langstrakt" ellipsen er: En ellipse med excentriciteten 0 er en perfekt cirkel, ellipser med meget lille excentricitet kan være svære at skelne fra cirkler med det blotte øje, og en høj excentricitet tæt på 1 svarer til en meget lang og smal ellipse. </p> <div class="mw-heading mw-heading2"><h2 id="Formler">Formler</h2></div> <p>Excentricitet kan beregnes ud fra keglesnittenes <a href="/wiki/Ligning" title="Ligning">ligninger</a> med følgende <a href="/wiki/Matematisk_formel" title="Matematisk formel">formler</a>: </p> <table class="wikitable"> <tbody><tr> <th>Keglesnit</th> <th>Ligning</th> <th>Excentricitet (<i>e</i>) </th></tr> <tr> <td><a href="/wiki/Cirkel" title="Cirkel">Cirkel</a></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x^{2}+y^{2}=r^{2}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>+</mo> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <msup> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}+y^{2}=r^{2}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/37dd4f282df84a83620f71dc52345122e0e3a514" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:12.64ex; height:3.009ex;" alt="{\displaystyle x^{2}+y^{2}=r^{2}}"></span></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 0}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>0</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 0}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2aae8864a3c1fec9585261791a809ddec1489950" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 0}"></span> </td></tr> <tr> <td><a href="/wiki/Ellipse" class="mw-redirect" title="Ellipse">Ellipse</a></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/3d7eb067b1ac196e718e5003ed60a0ea37577483" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:13.372ex; height:6.009ex;" alt="{\displaystyle {\frac {x^{2}}{a^{2}}}+{\frac {y^{2}}{b^{2}}}=1}"></span></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\sqrt {1-{\frac {b^{2}}{a^{2}}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {1-{\frac {b^{2}}{a^{2}}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/62a566ff429a7cfd4a4ae93b0491bc9b1e283540" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:9.447ex; height:7.509ex;" alt="{\displaystyle {\sqrt {1-{\frac {b^{2}}{a^{2}}}}}}"></span> </td></tr> <tr> <td><a href="/wiki/Parabel" title="Parabel">Parabel</a></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle x^{2}=4ay}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <mo>=</mo> <mn>4</mn> <mi>a</mi> <mi>y</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle x^{2}=4ay}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/678601e432ea9f64a26a8c35d86a0583cbcf7de8" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:9.03ex; height:3.009ex;" alt="{\displaystyle x^{2}=4ay}"></span></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle 1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/92d98b82a3778f043108d4e20960a9193df57cbf" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.162ex; height:2.176ex;" alt="{\displaystyle 1}"></span> </td></tr> <tr> <td><a href="/wiki/Hyperbel" title="Hyperbel">Hyperbel</a></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\frac {x^{2}}{a^{2}}}-{\frac {y^{2}}{b^{2}}}=1}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>x</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>−</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>y</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> <mo>=</mo> <mn>1</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\frac {x^{2}}{a^{2}}}-{\frac {y^{2}}{b^{2}}}=1}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/a24e3784b3cc27be20faa8b06c0c64e08dcabf7a" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -2.171ex; width:13.372ex; height:6.009ex;" alt="{\displaystyle {\frac {x^{2}}{a^{2}}}-{\frac {y^{2}}{b^{2}}}=1}"></span></td> <td><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\sqrt {1+{\frac {b^{2}}{a^{2}}}}}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <msqrt> <mn>1</mn> <mo>+</mo> <mrow class="MJX-TeXAtom-ORD"> <mfrac> <msup> <mi>b</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> <msup> <mi>a</mi> <mrow class="MJX-TeXAtom-ORD"> <mn>2</mn> </mrow> </msup> </mfrac> </mrow> </msqrt> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle {\sqrt {1+{\frac {b^{2}}{a^{2}}}}}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8859cddd06d015b4695e5c8febfaaf78ba558d88" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -3.005ex; width:9.447ex; height:7.509ex;" alt="{\displaystyle {\sqrt {1+{\frac {b^{2}}{a^{2}}}}}}"></span> </td></tr></tbody></table> <p>hvor det for ellipser og hyperbeler gælder at <i>a</i> udgør halvdelen af storakselens længde og <i>b</i> udgør halvdelen af lilleakselens længde. </p> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r11759279">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist ol ol,.mw-parser-output .hlist ol ul,.mw-parser-output .hlist ul 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